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Geometry Math-0!. If a conditional statement is known to be true, then what must also be true? Question 1.

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Presentation on theme: "Geometry Math-0!. If a conditional statement is known to be true, then what must also be true? Question 1."— Presentation transcript:

1 Geometry Math-0!

2 If a conditional statement is known to be true, then what must also be true? Question 1

3 Statements that are accepted to be true without proof are called… Question 2

4 Question 3 Which segment is an angle bisector?

5 Question 4 If AB|| CD, m ∠ B = 45, and m ∠ D = 60, Find the value of y.

6 This statement is obtained by negating the hypothesis and conclusion of a conditional statement. Question 5

7 Identify the form of reasoning used to make a conclusion in this argument, or choose “no valid conclusion.” If Lazy Larry studied hard, then he will do well on the Geometry exam. Lazy Larry did well on the Geometry test. Therefore, Lazy Larry studied hard. Question 6

8 Statements that must be proven are called… Question 7

9 If two angles are supplements of the same angle, then they are… Question 8

10 I’m thinking of an angle whose complement and supplement add to 94°. What am I thinking of? Question 9

11 Question 10 What triangle congruence shortcut proves the two triangles are congruent?

12 The lengths of two sides of a triangle are 3 and 8. The possible lengths of the third side are between… Question 11

13 Identify the form of reasoning used to make a conclusion in this argument, or choose “no valid conclusion.” If Lazy Larry studied hard, then he will do well on the Geometry exam. Lazy Larry studied hard. Therefore, Lazy Larry did well on the Geometry exam. Question 12

14 Question 13 What is the value of x?

15 What is the midpoint of segment AB for A(-1,5) and B(9,7)? Question 14

16 What are the coordinates of S if the midpoint of RS is (-3,2) and R(4,-3)? Question 15

17 What segment represents a segment bisector?

18 Question 16 What is the value of x?

19 Question 17 In ΔABC, ∠ A ≅ ∠ C. Find AC.

20 Question 18 True or False: Points J, D, and F are coplanar points.

21 Question 19 True or False: The intersection of Plane P and Plane Q is line JB.

22 Identify the form of reasoning used to make a conclusion in this argument, or choose “no valid conclusion.” If Larry studied hard, then he will do well on the Geometry exam. If Larry does well on the Geometry test, he will go see Ride Along with his friends. Therefore, if Larry studied hard, then he’ll go see Ride Along with his friends. Question 20

23 Question 21 p||q m<2 = 4x+2 & m<7 = x+17. Find x.

24 Question 22 p||q m<3 = 4x+3 & m<5 = x+17. Find x.

25 Question 23 Let AB be the perpendicular bisector of CT. What congruence shortcut proves the two triangles congruent?

26 Consider the statement: “If Larry studied hard, then he will do well on the Geometry exam.” What is the name given to this re- statement? “If Larry does well on the Geometry exam, then Larry studied hard.” Question 24

27 1.Contrapositive 2. postulates 3. segment AD 4. 75 5.Inverse 6.No valid Conclusion 7. theorems 8. congruent 9.88 10. HL 11. 5 and 11 12. Law of Detachment 13. 47 14. (4, 6) 15. Segment EB 16. 50 17. 15 18. True 19. False 20.Law of Syllogism 21. 5 22. 32 23. SAS 24. Converse Answers


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